Biprojectivity and biflatness of Lau product of Banach algebras defined by a Banach algebra morphism

Authors

  • F. Abtahi University of Isfahan
  • A. Ghafarpanah University of Isfahan
  • A. Rejali University of Isfahan

Keywords:

Biflatness, biprojectivity, bimodule map, θ−Lau product

Abstract

Let Ï• be a homomorphism from a Banach algebra B to a Banach algebra A. We deï¬ne a multiplication on the cartesian product space A × B and obtain a new Banach algebra A×ϕ B. We show that biprojectivity as well as biflatness of A ×ϕ B are stable with respect to Ï•. DOI: 10.1017/S0004972714000483

Published

2014-11-13

Issue

Vol. 91 No. 1 (2015)

Section

Articles
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